{
  "id": "1411.0680",
  "version": "v1",
  "published": "2014-11-03T21:00:12.000Z",
  "updated": "2014-11-03T21:00:12.000Z",
  "title": "Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy",
  "authors": [
    "Michaël Mariën",
    "Koenraad M. R. Audenaert",
    "Karel Van Acoleyen",
    "Frank Verstraete"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-03T21:00:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "area law",
      "entanglement entropy",
      "entanglement rates",
      "quantum spin systems",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.0680M"
    }
  }
}